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Mathematics 18 Online
OpenStudy (mckennarian):

Which of the following is a factor of 2x4 + 22x3 + 60x2? Can someone explain how you get the answer?

OpenStudy (dayakar):

take 2x2 common

OpenStudy (dayakar):

\[2x^{2}(x^{2}+11x+30)\]

OpenStudy (dayakar):

\[=2x^{2}[x^{2}+5x+6x+30]\]

OpenStudy (dayakar):

\[=2x^{2}[x(x+5)+6(x+5)]\]

OpenStudy (dayakar):

\[=2x^{2}[(x+5)(x+6)]\]

OpenStudy (dayakar):

this is the final answer

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